74144400 has 240 divisors, whose sum is σ = 267357888. Its totient is φ = 17408000.

The previous prime is 74144383. The next prime is 74144449. The reversal of 74144400 is 444147.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 541132 + ... + 541268.

Almost surely, 2^74144400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133678944).

74144400 is an abundant number, since it is smaller than the sum of its proper divisors (193213488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

74144400 is a wasteful number, since it uses less digits than its factorization.

74144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 74144400 is about 8610.7142560882. The cubic root of 74144400 is about 420.1065489313.

Adding to 74144400 its reverse (444147), we get a palindrome (74588547).

The spelling of 74144400 in words is "seventy-four million, one hundred forty-four thousand, four hundred".